In this section, we extend the initial feedback evolving game framework to pairwise comparison dynamics, which are a form of innovative dynamics. We compare our results to the framework obtained via replicator dynamics by Weitz et al.[1]} in the context of the prisoner's dilemma (PD). The motivation for this extension is twofold: first, through pairwise comparison dynamics we can capture some aspects of irrational behaviour of individuals' decision-making under risk through prospect theory [2]}, [3]}; second, the results presented here share similarities with the seminal work on game-environment feedback that are worth investigating, especially in terms of equilibria and stability [1]}.
